2(4r+3)=3(2r+7)

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Solution for 2(4r+3)=3(2r+7) equation:


Simplifying
2(4r + 3) = 3(2r + 7)

Reorder the terms:
2(3 + 4r) = 3(2r + 7)
(3 * 2 + 4r * 2) = 3(2r + 7)
(6 + 8r) = 3(2r + 7)

Reorder the terms:
6 + 8r = 3(7 + 2r)
6 + 8r = (7 * 3 + 2r * 3)
6 + 8r = (21 + 6r)

Solving
6 + 8r = 21 + 6r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-6r' to each side of the equation.
6 + 8r + -6r = 21 + 6r + -6r

Combine like terms: 8r + -6r = 2r
6 + 2r = 21 + 6r + -6r

Combine like terms: 6r + -6r = 0
6 + 2r = 21 + 0
6 + 2r = 21

Add '-6' to each side of the equation.
6 + -6 + 2r = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 2r = 21 + -6
2r = 21 + -6

Combine like terms: 21 + -6 = 15
2r = 15

Divide each side by '2'.
r = 7.5

Simplifying
r = 7.5

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